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We define the hyper-average of an array / list (of numbers) the arithmetic mean of the sums of its prefixes.
For example, the hyper-average of the list [1, 4, -3, 10] is computed in the following manner:
We get the prefixes: [1], [1, 4], [1, 4, -3], [1, 4, -3, 10].
Sum each: [1, 5, 2, 12].
And...